## Elementary Algebra

$n=\dfrac{3}{2}$
Using the properties of equality and combining like terms, the value of the variable that satisfies the given equation, $7n-10=9n-13 ,$ is \begin{array}{l}\require{cancel} 7n-9n=-13+10 \\\\ -2n=-3 \\\\ n=\dfrac{-3}{-2} \\\\ n=\dfrac{3}{2} .\end{array}